JEE Physics · Hard

Magnetism: Magnetic Moment of Electron Orbit MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Magnetic Moment of Electron OrbitHardQuestion 20226

Question

An electron revolves in a circular orbit of radius r with speed v. Its orbital magnetic moment is:
  1. A
    evr/2
    Correct
  2. B
    evr
  3. C
    ev/2r
  4. D
    2evr

Correct answer

evr/2

Explanation

Current I = e/(period) = ev/(2πr). Magnetic moment m = IA = (ev/2πr)(πr²) = evr/2.